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Finding the Fourth Proportional to 615,456.48, 923,318.64 and 194,736

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Solution

The fourth proportional to 615,456.48, 923,318.64 and 194,736 is: 292,146.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,456.48 : 923,318.64 = 194,736 : x
  2. Step 2: Convert to fraction form
    615,456.48/923,318.64 = 194,736/x
  3. Step 3: Cross multiply
    615,456.48x = 923,318.64 × 194,736
  4. Step 4: Simplify right side
    615,456.48x = 179,803,378,679.04
  5. Step 5: Solve for x
    x = 179,803,378,679.04/615,456.48
  6. Step 6: Final answer
    x = 292,146.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.